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# 36/ (x/6) = (1/36) / 36 6^(-5) 6^(-2) 6^4 6^7 6^8

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CEO
Joined: 21 Jan 2007
Posts: 2734

Kudos [?]: 1043 [0], given: 4

Location: New York City
36/ (x/6) = (1/36) / 36 6^(-5) 6^(-2) 6^4 6^7 6^8  [#permalink]

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16 Nov 2007, 11:24
00:00

Difficulty:

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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

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36/ (x/6) = (1/36) / 36

6^(-5)
6^(-2)
6^4
6^7
6^8

I got 1/6

Kudos [?]: 1043 [0], given: 4

Director
Joined: 09 Aug 2006
Posts: 754

Kudos [?]: 254 [0], given: 0

Re: PS powers of 6 [#permalink]

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16 Nov 2007, 23:38
bmwhype2 wrote:
36/ (x/6) = (1/36) / 36

6^(-5)
6^(-2)
6^4
6^7
6^8

I got 1/6

D.

36/ (x/6) = (1/36) / 36
or 36*6/x = 1/(36.36)
or x = 36*6*36*36 = 6^2*6*6^2*6^2 = 6^7

Kudos [?]: 254 [0], given: 0

CEO
Joined: 21 Jan 2007
Posts: 2734

Kudos [?]: 1043 [0], given: 4

Location: New York City

### Show Tags

20 Nov 2007, 06:32
OA is D.
6^7

Here is the shortcut

cross multiply
6^2(6^2) = x / (6^3)
6^4 = x / (6^3)

cross multiply again
6^7=x

Kudos [?]: 1043 [0], given: 4

20 Nov 2007, 06:32
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